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Finding the Third Proportional to 6,463,084 and 9,828,914

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Solution

The third proportional to 6,463,084 and 9,828,914 is: 14,947,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463,084 : 9,828,914 = 9,828,914 : x
  2. Step 2: Convert to fraction form
    6,463,084/9,828,914 = 9,828,914/x
  3. Step 3: Cross multiply
    6,463,084x = 9,828,914 × 9,828,914
  4. Step 4: Simplify right side
    6,463,084x = 96,607,550,419,396
  5. Step 5: Solve for x
    x = 96,607,550,419,396/6,463,084
  6. Step 6: Final answer
    x = 14,947,593.20

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.